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Finding the Third Proportional to 467,946 and 753,597

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Solution

The third proportional to 467,946 and 753,597 is: 1,213,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,946 : 753,597 = 753,597 : x
  2. Step 2: Convert to fraction form
    467,946/753,597 = 753,597/x
  3. Step 3: Cross multiply
    467,946x = 753,597 × 753,597
  4. Step 4: Simplify right side
    467,946x = 567,908,438,409
  5. Step 5: Solve for x
    x = 567,908,438,409/467,946
  6. Step 6: Final answer
    x = 1,213,619.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.